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Finding the Fourth Proportional to 482.07, 722.87 and 208.01

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Solution

The fourth proportional to 482.07, 722.87 and 208.01 is: 311.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.07 : 722.87 = 208.01 : x
  2. Step 2: Convert to fraction form
    482.07/722.87 = 208.01/x
  3. Step 3: Cross multiply
    482.07x = 722.87 × 208.01
  4. Step 4: Simplify right side
    482.07x = 150,359.53
  5. Step 5: Solve for x
    x = 150,359.53/482.07
  6. Step 6: Final answer
    x = 311.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.